کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417218 1338551 2015 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Wave equation for sums of squares on compact Lie groups
ترجمه فارسی عنوان
معادله موج برای مبالغ مربع بر روی گروههای جمع و جور
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

In this paper we investigate the well-posedness of the Cauchy problem for the wave equation for sums of squares of vector fields on compact Lie groups. We obtain the loss of regularity for solutions to the Cauchy problem in local Sobolev spaces depending on the order to which the Hörmander condition is satisfied, but no loss in globally defined spaces. We also establish Gevrey well-posedness for equations with irregular coefficients and/or multiple characteristics. As in the Sobolev spaces, if formulated in local coordinates, we observe well-posedness with the loss of local Gevrey order depending on the order to which the Hörmander condition is satisfied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 258, Issue 12, 15 June 2015, Pages 4324-4347
نویسندگان
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